(33-x)/5x=2

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Solution for (33-x)/5x=2 equation:


x in (-oo:+oo)

x*((33-x)/5) = 2 // - 2

x*((33-x)/5)-2 = 0

(x*(33-x))/5-2 = 0

(x*(33-x))/5+(-2*5)/5 = 0

x*(33-x)-2*5 = 0

33*x-x^2-10 = 0

33*x-x^2-10 = 0

33*x-x^2-10 = 0

DELTA = 33^2-(-10*(-1)*4)

DELTA = 1049

DELTA > 0

x = (1049^(1/2)-33)/(-1*2) or x = (-1049^(1/2)-33)/(-1*2)

x = (1049^(1/2)-33)/(-2) or x = (1049^(1/2)+33)/2

(x-((1049^(1/2)-33)/(-2)))*(x-((1049^(1/2)+33)/2)) = 0

((x-((1049^(1/2)-33)/(-2)))*(x-((1049^(1/2)+33)/2)))/5 = 0

((x-((1049^(1/2)-33)/(-2)))*(x-((1049^(1/2)+33)/2)))/5 = 0 // * 5

(x-((1049^(1/2)-33)/(-2)))*(x-((1049^(1/2)+33)/2)) = 0

( x-((1049^(1/2)+33)/2) )

x-((1049^(1/2)+33)/2) = 0 // + (1049^(1/2)+33)/2

x = (1049^(1/2)+33)/2

( x-((1049^(1/2)-33)/(-2)) )

x-((1049^(1/2)-33)/(-2)) = 0 // + (1049^(1/2)-33)/(-2)

x = (1049^(1/2)-33)/(-2)

x in { (1049^(1/2)+33)/2, (1049^(1/2)-33)/(-2) }

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